\contentsline {chapter}{\numberline {第 1{} 章}群的基本概念}{1}{chapter.1}%
\contentsline {section}{\numberline {1.1}简介}{1}{section.1.1}%
\contentsline {section}{\numberline {1.2}群举例}{1}{section.1.2}%
\contentsline {subsection}{\numberline {1.2.1}长方形群}{1}{subsection.1.2.1}%
\contentsline {subsection}{\numberline {1.2.2}正方形}{1}{subsection.1.2.2}%
\contentsline {subsection}{\numberline {1.2.3}群的阶}{2}{subsection.1.2.3}%
\contentsline {subsection}{\numberline {1.2.4}其他例子}{2}{subsection.1.2.4}%
\contentsline {subsubsection}{\numberline {1.2.4.1}氢原子}{2}{subsubsection.1.2.4.1}%
\contentsline {subsubsection}{\numberline {1.2.4.2}一些平面图形}{2}{subsubsection.1.2.4.2}%
\contentsline {subsubsection}{\numberline {1.2.4.3}矩阵操作}{2}{subsubsection.1.2.4.3}%
\contentsline {subsubsection}{\numberline {1.2.4.4}周期性}{2}{subsubsection.1.2.4.4}%
\contentsline {subsubsection}{\numberline {1.2.4.5}微信群和数学上的群}{2}{subsubsection.1.2.4.5}%
\contentsline {subsection}{\numberline {1.2.5}群的定义}{3}{subsection.1.2.5}%
\contentsline {subsection}{\numberline {1.2.6}连续操作}{3}{subsection.1.2.6}%
\contentsline {subsection}{\numberline {1.2.7}群的分类}{3}{subsection.1.2.7}%
\contentsline {subsubsection}{\numberline {1.2.7.1}群分类}{3}{subsubsection.1.2.7.1}%
\contentsline {subsubsection}{\numberline {1.2.7.2}一些例子}{4}{subsubsection.1.2.7.2}%
\contentsline {subsection}{\numberline {1.2.8}作业}{4}{subsection.1.2.8}%
